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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 81, Issue 2, Pages 343–361
DOI: https://doi.org/10.1070/SM1995v081n02ABEH003542 (Mi sm887) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Riesz completeness of the eigenelements and associated elements of linear selfadjoint pencils

S. G. Pyatkov
English version PDF (1070 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/SM1995v081n02ABEH003542
Abstract: Methods of the theory of interpolation of Banach spaces are applied to the study of the following questions: Riesz completeness for linear pencils; selection of maximal semidefinite invariant subspaces for a given operator defined in a Krein space; boundedness of the Riesz projections corresponding to the unbounded component of the spectrum of a positive operator.
Received: 11.03.1992 and 15.02.1993
Bibliographic databases:
UDC: 517.98
MSC: Primary 47A56, 46B15; Secondary 45C05, 47A10
Language: English
Original paper language: Russian
Citation: S. G. Pyatkov, “Riesz completeness of the eigenelements and associated elements of linear selfadjoint pencils”, Russian Acad. Sci. Sb. Math., 81:2 (1995), 343–361
Citation in format AMSBIB
\Bibitem{Pya94}
\by S.~G.~Pyatkov
\paper Riesz completeness of the~eigenelements and associated elements of linear selfadjoint pencils
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 81
\issue 2
\pages 343--361
\mathnet{http://mi.mathnet.ru//eng/sm887}
\crossref{https://doi.org/10.1070/SM1995v081n02ABEH003542}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1268799}
\zmath{https://zbmath.org/?q=an:0834.47007}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RB51300005}
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  • https://www.mathnet.ru/eng/sm/v185/i3/p93
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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